Black Hole Production from High Energy Scattering in AdS/CFT

@misc{citeulike:1688747, abstract = {n this article we show how to set up initial states in \${\cal N} =4\$ SYM theory that correspond to high energy graviton collisions, leading to black hole formation in \$AdS\_5\times S^5\$. For this purpose, we study states in the gauge theory that are dual to graviton wavepackets localized at the center of \$AdS\_5\$, and carrying large angular momentum along the \$S^5\$. These states are created by exciting only the s-wave mode of one of the complex adjoint scalars of SYM. For a single graviton, the state is 1/2 BPS and one can show that it is dual to a linearized 1/2 BPS geometry in the bulk. Exploiting this dictionary, we show how to localize the particle's wavefunciton so that the dual linearized metric has the form of a Aichelburg-Sexl shock wave. One can then put two such shock waves into a head-on collision, which is known to produce a trapped surface. Finally, we discuss the prospect of studying graviton scattering directly at strong coupling in the gauge theory using a reduced model of matrix quantum mechanics.}, author = {Vazquez, Samuel E. }, citeulike-article-id = {1688747}, eprint = {0709.3503}, keywords = {cosmology}, month = {Sep}, posted-at = {2007-09-24 09:02:33}, priority = {2}, title = {Black Hole Production from High Energy Scattering in AdS/CFT}, url = {http://arxiv.org/abs/0709.3503}, year = {2007} }

TY - ELEC ID - citeulike:1688747 L3 - citeulike-article-id:1688747 N2 - n this article we show how to set up initial states in ${\cal N} =4$ SYM theory that correspond to high energy graviton collisions, leading to black hole formation in $AdS_5\times S^5$. For this purpose, we study states in the gauge theory that are dual to graviton wavepackets localized at the center of $AdS_5$, and carrying large angular momentum along the $S^5$. These states are created by exciting only the s-wave mode of one of the complex adjoint scalars of SYM. For a single graviton, the state is 1/2 BPS and one can show that it is dual to a linearized 1/2 BPS geometry in the bulk. Exploiting this dictionary, we show how to localize the particle's wavefunciton so that the dual linearized metric has the form of a Aichelburg-Sexl shock wave. One can then put two such shock waves into a head-on collision, which is known to produce a trapped surface. Finally, we discuss the prospect of studying graviton scattering directly at strong coupling in the gauge theory using a reduced model of matrix quantum mechanics. TI - Black Hole Production from High Energy Scattering in AdS/CFT KW - cosmology AU - Vazquez, Samuel PY - 2007/Sep/21/ UR - http://arxiv.org/abs/0709.3503 ER -